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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2260–2266

Analytical description of backscattered states of polarization in polarization optical time-domain reflectometry measurements on uniformly twisted linearly birefringent optical fiber

D. H. O. Bebbington and A. S. Siddiqui  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2260-2266 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002260


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Abstract

We present a detailed derivation of the locus of Rayleigh backscattered states of polarization for polarization optical time domain reflectometry in uniformly twisted optical fiber with intrinsic linear birefringence. The locus is algebraically a quartic whose topology is determined by the relative orientation on the Poincaré sphere of the input SOP and the effective birefringence vector. We present an analysis that indicates how experimental data may be interpreted, through geometric parameters of the locus, for evaluating the fiber parameters. The analysis also indicates the minimum number of experimental data points required for meaningful values for the fiber parameters to be obtained.

© 2000 Optical Society of America

OCIS Codes
(060.2270) Fiber optics and optical communications : Fiber characterization
(060.2430) Fiber optics and optical communications : Fibers, single-mode
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.1440) Physical optics : Birefringence

History
Original Manuscript: January 18, 2000
Revised Manuscript: July 6, 2000
Manuscript Accepted: July 18, 2000
Published: December 1, 2000

Citation
D. H. O. Bebbington and A. S. Siddiqui, "Analytical description of backscattered states of polarization in polarization optical time-domain reflectometry measurements on uniformly twisted linearly birefringent optical fiber," J. Opt. Soc. Am. A 17, 2260-2266 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2260


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References

  1. R. E. Schuh, J. G. Ellison, A. S. Siddiqui, D. H. O. Bebbington, “Polarization OTDR measurements and theoretical analysis on fibres with twist and their implications for estimation of PMD,” Electron. Lett. 32, 387–388 (1996). [CrossRef]
  2. M. O. van Deventer, “Polarization properties of Rayleigh backscattering in single mode fibers,” J. Lightwave Technol. 11, 1895–1899 (1993). [CrossRef]
  3. C. D. Graves, “Radar polarization power scattering matrix,” Proc. IEEE 44, 248–252 (1956).
  4. D. H. O. Bebbington, “Target vectors—spinorial concepts and geometry,” presented at the Second International Workshop on Radar Polarimetry, Nantes, France, September 8–11, 1992.
  5. R. E. Schuh, E. S. R. Sikora, N. G. Walker, A. S. Siddiqui, L. M. Gleeson, D. H. O. Bebbington, “Theoretical analysis and measurement of the effects of fibre twist on the differential group delay of optical fibres,” Electron. Lett. 31, 1772–1773 (1995). [CrossRef]
  6. W. V. D. Hodge, D. Pedoe, Methods of Algebraic Geometry (Cambridge U. Press, Cambridge, UK, 1954), Chap. XIII.
  7. R. E. Schuh, A. S. Siddiqui, X. Shan, J. G. Ellison, D. H. O. Bebbington, “A novel simple polarization OTDR technique to detect fibre sections with and without twist,” Int. J. Optoelectron. 11, 321–324 (1997).
  8. D. H. O. Bebbington, J. G. Ellison, R. E. Schuh, X. Shan, A. S. Siddiqui, S. D. Walker, “Fully polarimetric optical time domain reflectometer with one metere spatial resolution,” in Optical Fiber Communication Conference, Vol. 6 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), paper WL24.
  9. J. G. Ellison, A. S. Siddiqui, “A fully polarimetric optical time domain reflectometer,” IEEE Photonics Technol. Lett. 10, 246–248 (1998). [CrossRef]

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